Einstein-Podolsky-Rosen paradox interaction

In the case that a particle with spin 0 decays into two electrons, observing the spin of one electron determines the spin of the second electron. Since this indicates that information transmits faster than light, it violates the relativistic theory Einstein-Podolsky-Rosen paradox) (Einstein et al. 1935). Bohr could not provide a counterargument to this. Later, this paradox was resolved by Bell s inequality, which limits the correlation of subsequent measurements of particles that have interacted and then separated on the local hidden-variable theory (Bell 1964), and Aspect s experiment, which proves the violation of this inequality (Aspect et al. 1982). 

Abstract We consider a possible realization of the position- and momentum-correlated atomic pairs that are confined to adjacent sites of two mutually shifted optical lattices and are entangled via laser-induced dipole-dipole interactions. The Einstein-Podolsky-Rosen (EPR) "paradox" [Einstein 1935] with translational variables is then modified by lattice-diffraction effects. We study a possible mechanism of creating such diatom entangled states by varying the effective mass of the atoms. 

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